Published April 13, 1995
| Submitted
Journal Article
Open
On the classification of fusion rings
- Creators
- Gepner, Doron
-
Kapustin, Anton
Chicago
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Abstract
The fusion rules and modular matrix of a rational conformal field theory obey a list of properties. We use these properties to classify rational conformal field theories with not more than six primary fields and small values of the fusion coefficients. We give a catalogue of fusion rings which can arise for these field theories. It is shown that all such fusion rules can be realized by current algebras. Our results support the conjecture that all rational conformal field theories are related to current algebras.
Additional Information
© 1995 Elsevier Science B.V. Received 25 October 1994. Work supported in part by the U.S. Department of Energy under Grant No. DE-FG03-92-ER40701. We would like to thank S. Cherkis for numerous discussions.Attached Files
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Additional details
- Eprint ID
- 66987
- Resolver ID
- CaltechAUTHORS:20160511-105134551
- Department of Energy (DOE)
- DE-FG03-92-ER40701
- Created
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2016-05-11Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field